Details

analyze330.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

750×	`unsub-neg_binary64`
558×	`neg-mul-1_binary64`
556×	`neg-sub0_binary64`
374×	`times-frac_binary64`
359×	`div-sub_binary64`
304×	`distribute-rgt-in_binary64`
294×	`sub-neg_binary64`
248×	`distribute-neg-out_binary64`
242×	`distribute-lft-in_binary64`
232×	`distribute-frac-neg_binary64`
212×	`associate-l_binary64`
195×	`associate-r_binary64`
152×	`associate-+r+_binary64`
134×	`associate-+l+_binary64`
132×	`associate-/l*_binary64`
117×	`associate-/r*_binary64`
100×	`distribute-neg-in_binary64`
86×	`distribute-neg-frac_binary64`
76×	`distribute-rgt-neg-out_binary64`
70×	`associate-+l-_binary64`
68×	`distribute-lft-neg-out_binary64`
64×	`associate-*l/_binary64`
58×	`associate-+r-_binary64`
50×	`distribute-rgt-out_binary64`
40×	`associate-*r/_binary64`
38×	`*-rgt-identity_binary64`
36×	`associate-/r/_binary64`
32×	`cancel-sign-sub-inv_binary64`
28×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
26×	`associate-/l/_binary64` `*-commutative_binary64`
22×	`/-rgt-identity_binary64`
20×	`sub0-neg_binary64` `+-rgt-identity_binary64`
18×	`mul-1-neg_binary64` `associate--l+_binary64`
12×	`sqr-neg_binary64` `associate--l-_binary64` `associate--r+_binary64`
10×	`distribute-lft-neg-in_binary64`
8×	`distribute-rgt1-in_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft1-in_binary64`
4×	`remove-double-neg_binary64` `div0_binary64` `swap-sqr_binary64` `associate--r-_binary64`
2×	`--rgt-identity_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	38
3	203	38
4	663	38
5	2649	38
6	3967	38
7	4946	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample34.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
5.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`unsub-neg_binary64`
587×	`sub-neg_binary64`
522×	`div-sub_binary64`
483×	`distribute-neg-out_binary64`
441×	`distribute-rgt-in_binary64`
386×	`neg-mul-1_binary64`
376×	`associate-/l*_binary64`
328×	`neg-sub0_binary64`
323×	`distribute-rgt-out--_binary64`
313×	`distribute-neg-in_binary64`
309×	`distribute-lft-in_binary64`
296×	`distribute-lft-neg-out_binary64`
284×	`distribute-rgt-neg-out_binary64`
224×	`associate--r+_binary64`
219×	`*-commutative_binary64`
209×	`distribute-rgt-neg-in_binary64`
208×	`associate-+l-_binary64`
201×	`distribute-rgt-out_binary64`
182×	`associate-*l/_binary64`
180×	`cancel-sign-sub-inv_binary64`
170×	`+-commutative_binary64`
157×	`associate-/r/_binary64`
149×	`associate-+r-_binary64`
148×	`associate--l+_binary64`
106×	`distribute-lft-neg-in_binary64`
105×	`distribute-neg-frac_binary64`
100×	`associate-l_binary64`
95×	`associate-/l/_binary64`
94×	`associate-r_binary64`
88×	`associate--r-_binary64`
79×	`remove-double-neg_binary64`
76×	`associate-+r+_binary64`
73×	`distribute-rgt1-in_binary64`
67×	`associate-+l+_binary64`
65×	`*-rgt-identity_binary64`
59×	`associate--l-_binary64`
45×	`associate-*r/_binary64`
44×	`associate-/r*_binary64`
39×	`*-lft-identity_binary64`
34×	`distribute-lft1-in_binary64`
33×	`distribute-frac-neg_binary64`
32×	`sub0-neg_binary64`
26×	`mul0-lft_binary64`
25×	`mul0-rgt_binary64`
24×	`mul-1-neg_binary64`
22×	`cancel-sign-sub_binary64`
21×	`distribute-lft-out_binary64`
14×	`+-rgt-identity_binary64`
11×	`--rgt-identity_binary64`
10×	`div0_binary64`
7×	`distribute-lft-out--_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-prod_binary64`
4×	`sqr-neg_binary64` `sqr-pow_binary64` `difference-of-squares_binary64`
2×	`cube-unmult_binary64` `+-lft-identity_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	19
3	108	19
4	319	19
5	1081	19
6	2911	19
7	3254	19
8	3891	19
9	4728	19
10	4924	19

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite179.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`associate-l_binary64`
8×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64` `difference-of-squares_binary64`
4×	`frac-times_binary64` `sub-neg_binary64`
3×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`difference-of-sqr-1_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

3 → 95

Calls

3 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2046 to 1400 computations (31.6% saved)

series100.0ms (2.4%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

45.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
24.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
10.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 857 to 668 computations (22.1% saved)

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
214×	`associate-/r*_binary64`
205×	`associate-/l/_binary64`
159×	`associate-l_binary64`
149×	`associate-/r/_binary64`
144×	`exp-prod_binary64`
128×	`associate-r_binary64`
103×	`*-commutative_binary64`
82×	`log-prod_binary64`
79×	`associate-/l*_binary64`
70×	`sub-neg_binary64`
61×	`distribute-rgt-neg-out_binary64`
55×	`log-div_binary64`
52×	`distribute-lft-neg-out_binary64`
45×	`associate-*l/_binary64`
44×	`+-commutative_binary64`
40×	`times-frac_binary64`
35×	`associate-*r/_binary64`
34×	`*-lft-identity_binary64` `associate--l+_binary64`
33×	`div-sub_binary64`
32×	`neg-sub0_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64`
31×	`distribute-rgt-neg-in_binary64`
30×	`sqr-pow_binary64`
24×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
23×	`cancel-sign-sub-inv_binary64`
22×	`swap-sqr_binary64`
21×	`cube-div_binary64`
20×	`cube-prod_binary64`
19×	`associate-+l+_binary64`
16×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
15×	`distribute-neg-frac_binary64`
14×	`mul-1-neg_binary64`
13×	`unpow3_binary64`
12×	`unswap-sqr_binary64`
11×	`exp-sum_binary64` `associate--r+_binary64`
10×	`/-rgt-identity_binary64`
9×	`log-rec_binary64`
8×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
7×	`distribute-frac-neg_binary64`
5×	`cube-unmult_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `exp-diff_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64`
2×	`pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

128 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2269
1	461	2160
2	1593	2134
3	4741	2129
4	5017	2129

prune102.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Error

Counts

110 → 6

Compiler

Compiled 1483 to 921 computations (37.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (/.f64 m v) m))
0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.2b	(*.f64 (/.f64 m v) m)
8.1b	(/.f64 (pow.f64 m 3) v)

rewrite289.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64`
22×	`add-log-exp_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-l_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
9×	`sum-log_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`frac-add_binary64`
5×	`div-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l+_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `associate-r_binary64` `diff-log_binary64` `frac-sub_binary64` `distribute-lft-out_binary64`
3×	`cbrt-undiv_binary64` `associate-/r*_binary64` `cancel-sign-sub-inv_binary64`
2×	`div-inv_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `distribute-lft-out--_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `associate-+l-_binary64` `sub-neg_binary64` `associate--l+_binary64` `+-commutative_binary64` `associate-*r/_binary64`

Counts

4 → 148

Calls

4 calls:

26.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
6.0ms	(.f64 2 (.f64 (/.f64 m v) m))
6.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4274 to 1904 computations (55.5% saved)

series115.0ms (2.7%)

Error

Counts

4 → 36

Calls

4 calls:

41.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
22.0ms	(/.f64 (pow.f64 m 3) v)
21.0ms	(.f64 2 (.f64 (/.f64 m v) m))
19.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1242 to 905 computations (27.1% saved)

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

440×	`cancel-sign-sub-inv_binary64`
324×	`unswap-sqr_binary64`
280×	`associate-r_binary64`
231×	`associate-l_binary64`
165×	`distribute-rgt-in_binary64`
155×	`distribute-lft-in_binary64`
145×	`associate-/l*_binary64`
141×	`sub-neg_binary64`
134×	`*-commutative_binary64`
106×	`associate-*l/_binary64`
98×	`log-prod_binary64` `cube-prod_binary64`
85×	`associate-*r/_binary64`
78×	`+-commutative_binary64`
72×	`exp-sum_binary64`
71×	`exp-prod_binary64`
60×	`log-div_binary64` `sqr-pow_binary64`
58×	`cube-div_binary64` `times-frac_binary64`
57×	`associate-/r*_binary64`
56×	`swap-sqr_binary64`
55×	`neg-mul-1_binary64`
53×	`neg-sub0_binary64`
49×	`associate--l+_binary64`
42×	`associate-/l/_binary64`
40×	`distribute-rgt-neg-in_binary64` `associate-+l+_binary64`
29×	`*-rgt-identity_binary64`
27×	`exp-diff_binary64` `distribute-lft-neg-in_binary64` `associate-+r+_binary64`
25×	`unsub-neg_binary64`
24×	`associate--r+_binary64`
23×	`*-lft-identity_binary64`
19×	`unpow3_binary64` `div-exp_binary64`
17×	`associate-/r/_binary64`
16×	`prod-exp_binary64`
13×	`cube-mult_binary64` `distribute-neg-in_binary64`
12×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
11×	`difference-of-squares_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
10×	`div-sub_binary64`
9×	`/-rgt-identity_binary64` `pow-sqr_binary64`
8×	`log-pow_binary64`
7×	`pow-plus_binary64` `rem-sqrt-square_binary64`
5×	`cube-unmult_binary64`
4×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
3×	`associate--r-_binary64` `associate--l-_binary64`
2×	`exp-lft-sqr_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

184 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	3753
1	768	3607
2	3212	3601
3	5106	3601

prune123.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 2617 to 1132 computations (56.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))

rewrite144.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`pow1_binary64` `frac-times_binary64`
4×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`

Counts

2 → 84

Calls

2 calls:

14.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
9.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1929 to 1175 computations (39.1% saved)

series75.0ms (1.8%)

Error

Counts

2 → 27

Calls

2 calls:

33.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
25.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 731 to 560 computations (23.4% saved)

simplify105.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

748×	`distribute-rgt-in_binary64`
711×	`distribute-lft-in_binary64`
417×	`times-frac_binary64`
163×	`associate-l_binary64`
155×	`exp-prod_binary64`
128×	`*-commutative_binary64`
126×	`associate-r_binary64`
97×	`log-prod_binary64`
72×	`distribute-rgt-neg-out_binary64`
65×	`distribute-lft-neg-out_binary64`
61×	`sub-neg_binary64`
60×	`associate-*l/_binary64`
55×	`associate-/l*_binary64`
43×	`associate-/r/_binary64`
41×	`*-lft-identity_binary64` `+-commutative_binary64`
37×	`associate-*r/_binary64`
34×	`*-rgt-identity_binary64`
32×	`neg-sub0_binary64` `associate--l+_binary64`
31×	`distribute-rgt-neg-in_binary64`
30×	`sqr-pow_binary64`
25×	`unswap-sqr_binary64`
24×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64` `associate-/l/_binary64`
23×	`unsub-neg_binary64`
22×	`distribute-lft-neg-in_binary64`
21×	`cube-prod_binary64`
18×	`associate-+l+_binary64`
16×	`div-sub_binary64` `swap-sqr_binary64`
15×	`log-div_binary64` `distribute-neg-in_binary64`
13×	`mul-1-neg_binary64`
11×	`associate--r+_binary64`
10×	`unpow3_binary64`
9×	`cube-div_binary64`
8×	`exp-sum_binary64` `associate-/r*_binary64` `associate-+r+_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`/-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
5×	`cube-unmult_binary64`
4×	`unpow1/2_binary64` `cube-mult_binary64`
3×	`log-pow_binary64` `pow-plus_binary64` `exp-diff_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

111 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2190
1	491	2107
2	1598	2081
3	4733	2075
4	4999	2075

prune83.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Error

Counts

99 → 4

Compiler

Compiled 1307 to 776 computations (40.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
0.2b	(*.f64 (/.f64 m v) m)
0.3b	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
9.7b	(/.f64 (pow.f64 m 3/2) v)

rewrite329.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
40×	`add-exp-log_binary64`
31×	`unpow-prod-down_binary64`
28×	`associate-r_binary64`
22×	`add-log-exp_binary64`
20×	`associate-l_binary64`
16×	`add-cbrt-cube_binary64`
15×	`sqr-pow_binary64`
14×	`prod-exp_binary64` `unswap-sqr_binary64`
13×	`div-exp_binary64`
9×	`sum-log_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64`
7×	`associate-/l_binary64` `associate-r/_binary64`
6×	`pow1_binary64` `frac-add_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `associate-+l+_binary64`
4×	`cbrt-unprod_binary64` `diff-log_binary64` `frac-sub_binary64`
3×	`cbrt-undiv_binary64` `div-inv_binary64` `associate-/r*_binary64` `cancel-sign-sub-inv_binary64`
2×	`*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-*l/_binary64` `flip3--_binary64` `flip--_binary64` `associate-+l-_binary64` `sub-neg_binary64` `associate--l+_binary64` `+-commutative_binary64`

Counts

4 → 171

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
12.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
6.0ms	(*.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 3/2) v)

Compiler

Compiled 6126 to 3064 computations (50% saved)

series124.0ms (2.9%)

Error

Counts

4 → 33

Calls

4 calls:

38.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
27.0ms	(/.f64 (pow.f64 m 3/2) v)
23.0ms	(*.f64 (/.f64 m v) m)
23.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))

Compiler

Compiled 1424 to 1018 computations (28.5% saved)

simplify128.0ms (3%)

Algorithm

1×	egg-herbie

Rules

857×	`times-frac_binary64`
309×	`associate-r_binary64`
284×	`associate-l_binary64`
199×	`*-commutative_binary64`
164×	`distribute-rgt-in_binary64`
154×	`distribute-lft-in_binary64`
147×	`associate-/l*_binary64`
128×	`associate-*l/_binary64`
123×	`associate-*r/_binary64`
91×	`cancel-sign-sub-inv_binary64`
81×	`+-commutative_binary64`
72×	`exp-sum_binary64`
62×	`sub-neg_binary64`
58×	`exp-prod_binary64`
52×	`cube-prod_binary64`
49×	`associate--l+_binary64`
44×	`distribute-rgt-neg-in_binary64`
39×	`associate-/l/_binary64` `associate-+l+_binary64`
38×	`log-prod_binary64` `associate-/r*_binary64`
34×	`sqr-pow_binary64`
29×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
28×	`cube-div_binary64` `neg-sub0_binary64`
27×	`exp-diff_binary64`
24×	`associate--r+_binary64`
23×	`associate-+r+_binary64`
22×	`log-div_binary64`
21×	`unswap-sqr_binary64`
19×	`div-exp_binary64`
17×	`swap-sqr_binary64`
16×	`unpow3_binary64` `prod-exp_binary64`
14×	`associate-/r/_binary64`
13×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
12×	`associate-+l-_binary64`
10×	`*-rgt-identity_binary64`
9×	`cube-mult_binary64`
8×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
7×	`/-rgt-identity_binary64`
6×	`cube-unmult_binary64`
5×	`log-pow_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
4×	`unsub-neg_binary64` `difference-of-squares_binary64`
3×	`log-rec_binary64` `pow-base-1_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `div-sub_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`

Counts

204 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	4304
1	938	4081
2	3452	4063
3	5059	4063

prune139.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	149	4	153

Error

Counts

153 → 4

Compiler

Compiled 3259 to 1536 computations (52.9% saved)

regimes593.0ms (14%)

Accuracy

Total 0.1b remaining (74.7%)

Threshold costs 0.1b (74.7%)

Compiler

Compiled 8003 to 6330 computations (20.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`sub-neg_binary64` `*-commutative_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	24	31
2	32	31
3	44	31
4	51	31
5	56	31
6	59	31
7	60	31
8	57	31

end1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

sample860.0ms (20.3%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
168.0ms	8068×	pre	128	true
2.0ms	68×	body	128	invalid

Compiler

Compiled 128 to 104 computations (18.8% saved)

Details

analyze330.0ms (7.8%)

sample34.0ms (0.8%)

simplify97.0ms (2.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite179.0ms (4.2%)

series100.0ms (2.4%)

simplify108.0ms (2.6%)

prune102.0ms (2.4%)

localize15.0ms (0.4%)

rewrite289.0ms (6.8%)

series115.0ms (2.7%)

simplify119.0ms (2.8%)

prune123.0ms (2.9%)

localize7.0ms (0.2%)

rewrite144.0ms (3.4%)

series75.0ms (1.8%)

simplify105.0ms (2.5%)

prune83.0ms (2%)

localize15.0ms (0.4%)

rewrite329.0ms (7.8%)

series124.0ms (2.9%)

simplify128.0ms (3%)

prune139.0ms (3.3%)

regimes593.0ms (14%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample860.0ms (20.3%)

Profiling